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arXiv · 2110.05341

Global symmetry breaking in gauge theories: the case of multiflavor scalar chromodynamics

Claudio Bonati·Andrea Pelissetto·Ettore Vicari
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Abstract

Universal features of continuous phase transitions can be investigated by studying the $ϕ^4$ field theory with the corresponding global symmetry breaking pattern. When gauge symmetries are present, the same technique is usually applied to a gauge-invariant order parameter field, as in the Pisarski-Wilczek analysis of the QCD chiral phase transition. Gauge fields are thus assumed to be irrelevant in the effective critical model, a fact that is however far from trivial. We will investigate the validity of this approach using three-dimensional scalar lattice models with non-abelian global and local symmetries, for which critical exponents and scaling functions can be numerically determined with high accuracy.

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Claudio Bonati, Andrea Pelissetto, Ettore Vicari. 2021-10-11. Global symmetry breaking in gauge theories: the case of multiflavor scalar chromodynamics. https://arxiv.org/abs/2110.05341

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